Given:
The system of equations:
To find:
The number that can be multiplied by the second equation to eliminate the x-variable when the equations are added together.
Solution:
We have,
...(i)
...(ii)
The coefficient of x in (i) and (ii) are 1 and 
respectively.
To eliminate the variable x by adding the equations, we need the coefficients of x as the additive inverse of each other, i.e, a and -a So, a+(-a)=0.
It means, we have to convert into -1. It is possible if we multiply the equation (ii) by -5.
On multiplying equation (ii) by -5, we get
...(iii)
On adding (i) and (iii), we get
Here, x is eliminated.
Therefore, the number -5 can be multiplied by the second equation to eliminate the x-variable.
The answer is radius equals 4
Answer:
C) 63
Step-by-step explanation:
3 cakes translates to 30 minutes each, so 1.5 hours. If he worked 12 hours total and 1.5 were used to make cakes then the rest were used for cupcakes. This means 12-1.5 = 10.5 hours were spent on cupcakes.
Each cupcake takes 10 minutes, which means in 10.5 hours, or 630 minutes, 63 cupcakes can be made. So C
Substitute -8 for t in the expression, and now you have: h(-8) = -2[(-8) + 5]^2 + 4. Solve inside the parentheses; add -8 and 5.
h(-8) = -2[-3]^2 + 4, solve exponents next by squaring -3.
h(-8) = -2[9] + 4, multiply -2 and 9.
h(-8) = [-18] + 4, add -18 and 4.
h(-8) = -14.
Answer:
el 5
Step-by-step explanation:
La mediana es el número intermedio de un grupo de números; es decir, la mitad de los números
Primero se acomodan de menor a mayor y luego ubicaras el número que queda en medio
